Finding the Antiderivative of sec (squared) x

[softballqt815]

Homework Statement

The average value of sec (squared) x over the interval 0 is less than or equal to x which is less than or equal to pie divided by 4. What is the antiderivative of sec (squared) x?

Homework Equations

The Attempt at a Solution

average value is f(x)dx of (a,b) over b-a. In order to find the area under the curve, the antiderivate of sec (squared) x must be found, and then can be carried out as F(b)-F(a)

 

[Gib Z]

What is the antiderivative of sec (squared) x?

What is $\frac{d}{dx} \tan x$?